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Efficiency of SS(l) square-and-multiply exponentiation algorithms

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Abstract
SS(l) has been demonstrated experimentally to be the fastest square-and-multiply exponentiation scheme based on precomputation and string substitution. The Letter provides a complete proof of the efficiency of the SS(l) algorithm. It shows that SS(l) is a minimum weight representation scheme and proves that the expected weight of an n-bit SS(l)-represented exponent is n/(l+1) for large n.
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Source Title
Electronics Letters
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Date
1994-12-08
DOI
10.1049/el:19941424
Type
Article
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